摘要
针对不确定多属性决策中的属性信息分布不均匀,且评价信息多数为二维信息的情况,本文提出了二维区间密度加权算子(TDIDW算子)的属性信息集结方法.依据密度算子的集结过程特点,文章首先定义了二维区间密度加权算子及其合成算子,然后介绍了基于灰色区间聚类法的评价信息分组方法以及基于非线性模型的密度加权向量确定方法,最后进行了算例验证.验证结果表明,该方法可以有效地解决由于属性信息分布不均匀而导致评价结果不准确的问题.
Considering that the information is uneven distributed and mostly is the two-dimensional in the uncertain multiple attribute decision making, the two-dimensional interval density weighted （TDIDW） operator is proposed to aggregate the attribute information. Based on the characteristics of the density operator aggregating process, firstly, the paper defines TDIDW operator and its synthetic operators; then, it introduces the grey interval clustering method of grouping the evaluating information, and a non-linear model of determining the density weighted vector; finally, the paper gives an example to verify the effectiveness of the method proposed, which shows the problem that the uneven distribution of attribute information leads to the inaccurate result, can be solved to some extent.
出处
《应用泛函分析学报》
CSCD
2014年第2期97-104,共8页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(71001048
71361021)
江西省社会科学研究"十二五"规划项目(13GL38)
江西省赣鄱英才555工程项目
关键词
多属性决策
二维区间密度加权算子
灰色区间聚类法
非线性模型
multiple attribute decision making
two-dimensional interval density weighted （TDIDW）operator
the grey interval clustering method
a non-linear model
